102696145920 has 704 divisors, whose sum is σ = 391569811200. Its totient is φ = 25433210880.

The previous prime is 102696145897. The next prime is 102696145921. The reversal of 102696145920 is 29541696201.

102696145920 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 9 + 614 + 5 + 9 + 20 = 666.

It is a super-3 number, since 3×102696145920³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102696145921) 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, 209156875 + ... + 209157365.

Almost surely, 2^102696145920 is an apocalyptic number.

102696145920 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 102696145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195784905600).

102696145920 is an abundant number, since it is smaller than the sum of its proper divisors (288873665280).

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

102696145920 is a wasteful number, since it uses less digits than its factorization.

102696145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 102696145920 in words is "one hundred two billion, six hundred ninety-six million, one hundred forty-five thousand, nine hundred twenty".