102097920 has 264 divisors, whose sum is σ = 361975104. Its totient is φ = 24510464.

The previous prime is 102097889. The next prime is 102097927. The reversal of 102097920 is 29790201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (102097927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4439029 + ... + 4439051.

Almost surely, 2^102097920 is an apocalyptic number.

102097920 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 102097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180987552).

102097920 is an abundant number, since it is smaller than the sum of its proper divisors (259877184).

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

102097920 is a wasteful number, since it uses less digits than its factorization.

102097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 102097920 is about 10104.3515378277. The cubic root of 102097920 is about 467.3823395357.

The spelling of 102097920 in words is "one hundred two million, ninety-seven thousand, nine hundred twenty".