102472197120 has 352 divisors, whose sum is σ = 365182179840. Its totient is φ = 27249868800.

The previous prime is 102472197031. The next prime is 102472197161. The reversal of 102472197120 is 21791274201.

102472197120 is a `hidden beast` number, since 102 + 472 + 19 + 71 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64004320 + ... + 64005920.

Almost surely, 2^102472197120 is an apocalyptic number.

102472197120 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 102472197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182591089920).

102472197120 is an abundant number, since it is smaller than the sum of its proper divisors (262709982720).

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

102472197120 is a wasteful number, since it uses less digits than its factorization.

102472197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 102472197120 in words is "one hundred two billion, four hundred seventy-two million, one hundred ninety-seven thousand, one hundred twenty".