101056757472 has 432 divisors, whose sum is σ = 334962770688. Its totient is φ = 28646238720.

The previous prime is 101056757467. The next prime is 101056757497. The reversal of 101056757472 is 274757650101.

101056757472 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 6 + 7 + 574 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78765343 + ... + 78766625.

It is an arithmetic number, because the mean of its divisors is an integer number (775376784).

Almost surely, 2^101056757472 is an apocalyptic number.

101056757472 is a gapful number since it is divisible by the number (12) 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 101056757472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167481385344).

101056757472 is an abundant number, since it is smaller than the sum of its proper divisors (233906013216).

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

101056757472 is a wasteful number, since it uses less digits than its factorization.

101056757472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 101056757472 in words is "one hundred one billion, fifty-six million, seven hundred fifty-seven thousand, four hundred seventy-two".