101072995540 has 96 divisors (see below), whose sum is σ = 238246968960. Its totient is φ = 35700134400.

The previous prime is 101072995537. The next prime is 101072995613. The reversal of 101072995540 is 45599270101.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1682746 + ... + 1741774.

It is an arithmetic number, because the mean of its divisors is an integer number (2481739260).

Almost surely, 2^101072995540 is an apocalyptic number.

101072995540 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 101072995540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119123484480).

101072995540 is an abundant number, since it is smaller than the sum of its proper divisors (137173973420).

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

101072995540 is a wasteful number, since it uses less digits than its factorization.

101072995540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59273 (or 59271 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 101072995540 in words is "one hundred one billion, seventy-two million, nine hundred ninety-five thousand, five hundred forty".