102120858 has 128 divisors (see below), whose sum is σ = 278784000. Its totient is φ = 27060480.

The previous prime is 102120857. The next prime is 102120859. The reversal of 102120858 is 858021201.

It is an interprime number because it is at equal distance from previous prime (102120857) and next prime (102120859).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102120857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423618 + ... + 423858.

It is an arithmetic number, because the mean of its divisors is an integer number (2178000).

Almost surely, 2^102120858 is an apocalyptic number.

102120858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392000).

102120858 is an abundant number, since it is smaller than the sum of its proper divisors (176663142).

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

102120858 is a wasteful number, since it uses less digits than its factorization.

102120858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102120858 is about 10105.4865296036. The cubic root of 102120858 is about 467.4173386598.

The spelling of 102120858 in words is "one hundred two million, one hundred twenty thousand, eight hundred fifty-eight".