101652920800 has 72 divisors (see below), whose sum is σ = 249037638696. Its totient is φ = 40517399040.

The previous prime is 101652920797. The next prime is 101652920819. The reversal of 101652920800 is 8029256101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1902 + ... + 450898.

It is an arithmetic number, because the mean of its divisors is an integer number (3458856093).

Almost surely, 2^101652920800 is an apocalyptic number.

101652920800 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 101652920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124518819348).

101652920800 is an abundant number, since it is smaller than the sum of its proper divisors (147384717896).

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

101652920800 is a wasteful number, since it uses less digits than its factorization.

101652920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449300 (or 449287 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 101652920800 in words is "one hundred one billion, six hundred fifty-two million, nine hundred twenty thousand, eight hundred".