101164775040 has 1920 divisors, whose sum is σ = 471752709120. Its totient is φ = 20145438720.

The previous prime is 101164775027. The next prime is 101164775119. The reversal of 101164775040 is 40577461101.

101164775040 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 647 + 7 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 101164774986 and 101164775004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3263379825 + ... + 3263379855.

It is an arithmetic number, because the mean of its divisors is an integer number (245704536).

Almost surely, 2^101164775040 is an apocalyptic number.

101164775040 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 101164775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235876354560).

101164775040 is an abundant number, since it is smaller than the sum of its proper divisors (370587934080).

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

101164775040 is a wasteful number, since it uses less digits than its factorization.

101164775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 101164775040 in words is "one hundred one billion, one hundred sixty-four million, seven hundred seventy-five thousand, forty".