101529400 has 96 divisors (see below), whose sum is σ = 275696640. Its totient is φ = 34047360.

The previous prime is 101529391. The next prime is 101529401. The reversal of 101529400 is 4925101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101529401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65029 + ... + 66571.

It is an arithmetic number, because the mean of its divisors is an integer number (2871840).

Almost surely, 2^101529400 is an apocalyptic number.

101529400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101529400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137848320).

101529400 is an abundant number, since it is smaller than the sum of its proper divisors (174167240).

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

101529400 is a wasteful number, since it uses less digits than its factorization.

101529400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 101529400 is about 10076.1798316624. The cubic root of 101529400 is about 466.5132035075.

The spelling of 101529400 in words is "one hundred one million, five hundred twenty-nine thousand, four hundred".