101625761160 has 1024 divisors, whose sum is σ = 442368000000. Its totient is φ = 20136729600.

The previous prime is 101625761143. The next prime is 101625761173. The reversal of 101625761160 is 61167526101.

It is a happy number.

101625761160 is a `hidden beast` number, since 1 + 0 + 16 + 2 + 576 + 11 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 203658591 + ... + 203659089.

It is an arithmetic number, because the mean of its divisors is an integer number (432000000).

Almost surely, 2^101625761160 is an apocalyptic number.

101625761160 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 101625761160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221184000000).

101625761160 is an abundant number, since it is smaller than the sum of its proper divisors (340742238840).

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

101625761160 is a wasteful number, since it uses less digits than its factorization.

101625761160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 101625761160 in words is "one hundred one billion, six hundred twenty-five million, seven hundred sixty-one thousand, one hundred sixty".