101794252560 has 1280 divisors, whose sum is σ = 461970432000. Its totient is φ = 17836277760.

The previous prime is 101794252559. The next prime is 101794252607. The reversal of 101794252560 is 65252497101.

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

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 255 ways as a sum of consecutive naturals, for example, 132371856 + ... + 132372624.

It is an arithmetic number, because the mean of its divisors is an integer number (360914400).

Almost surely, 2^101794252560 is an apocalyptic number.

101794252560 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 101794252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216000).

101794252560 is an abundant number, since it is smaller than the sum of its proper divisors (360176179440).

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

101794252560 is a wasteful number, since it uses less digits than its factorization.

101794252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 101794252560 in words is "one hundred one billion, seven hundred ninety-four million, two hundred fifty-two thousand, five hundred sixty".