102690975744 has 728 divisors, whose sum is σ = 373867382880. Its totient is φ = 27614380032.

The previous prime is 102690975703. The next prime is 102690975763. The reversal of 102690975744 is 447579096201.

102690975744 is a `hidden beast` number, since 1 + 0 + 2 + 69 + 0 + 9 + 7 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6040645624 + ... + 6040645640.

Almost surely, 2^102690975744 is an apocalyptic number.

102690975744 is a gapful number since it is divisible by the number (14) 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 102690975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186933691440).

102690975744 is an abundant number, since it is smaller than the sum of its proper divisors (271176407136).

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

102690975744 is an frugal number, since it uses more digits than its factorization.

102690975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 102690975744 in words is "one hundred two billion, six hundred ninety million, nine hundred seventy-five thousand, seven hundred forty-four".