102029956 has 36 divisors (see below), whose sum is σ = 210073500. Its totient is φ = 43228416.

The previous prime is 102029953. The next prime is 102029969. The reversal of 102029956 is 659920201.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 75342400 = 5166^2 + 8680^2 .

It is a super-2 number, since 2×102029956² = 20820223842723872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102029953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14520 + ... + 20368.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2^102029956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102029956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105036750).

102029956 is an abundant number, since it is smaller than the sum of its proper divisors (108043544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102029956 is a wasteful number, since it uses less digits than its factorization.

102029956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 102029956 is about 10100.9878724806. The cubic root of 102029956 is about 467.2786083191.

It can be divided in two parts, 1020 and 29956, that added together give a square (30976 = 176²).

The spelling of 102029956 in words is "one hundred two million, twenty-nine thousand, nine hundred fifty-six".