101902748640 has 1152 divisors, whose sum is σ = 438173245440. Its totient is φ = 19284480000.

The previous prime is 101902748573. The next prime is 101902748653. The reversal of 101902748640 is 46847209101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 101902748592 and 101902748601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 674852565 + ... + 674852715.

It is an arithmetic number, because the mean of its divisors is an integer number (380358720).

Almost surely, 2^101902748640 is an apocalyptic number.

101902748640 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 101902748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219086622720).

101902748640 is an abundant number, since it is smaller than the sum of its proper divisors (336270496800).

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

101902748640 is a wasteful number, since it uses less digits than its factorization.

101902748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 101902748640 in words is "one hundred one billion, nine hundred two million, seven hundred forty-eight thousand, six hundred forty".