102172920 has 64 divisors (see below), whose sum is σ = 307804320. Its totient is φ = 27131904.

The previous prime is 102172919. The next prime is 102172921. The reversal of 102172920 is 29271201.

It is an interprime number because it is at equal distance from previous prime (102172919) and next prime (102172921).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102172921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29184 + ... + 32496.

Almost surely, 2^102172920 is an apocalyptic number.

102172920 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 102172920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153902160).

102172920 is an abundant number, since it is smaller than the sum of its proper divisors (205631400).

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

102172920 is a wasteful number, since it uses less digits than its factorization.

102172920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 102172920 is about 10108.0621288158. The cubic root of 102172920 is about 467.4967561520.

The spelling of 102172920 in words is "one hundred two million, one hundred seventy-two thousand, nine hundred twenty".