101933531640 has 384 divisors, whose sum is σ = 359531827200. Its totient is φ = 24971950080.

The previous prime is 101933531639. The next prime is 101933531731. The reversal of 101933531640 is 46135339101.

It is a happy number.

101933531640 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 3 + 3 + 5 + 3 + 1 + 640 = 666.

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 = 101933531595 and 101933531604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35677092 + ... + 35679948.

It is an arithmetic number, because the mean of its divisors is an integer number (936280800).

Almost surely, 2^101933531640 is an apocalyptic number.

101933531640 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 101933531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179765913600).

101933531640 is an abundant number, since it is smaller than the sum of its proper divisors (257598295560).

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

101933531640 is a wasteful number, since it uses less digits than its factorization.

101933531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 101933531640 in words is "one hundred one billion, nine hundred thirty-three million, five hundred thirty-one thousand, six hundred forty".