101345887440 has 120 divisors (see below), whose sum is σ = 388975187328. Its totient is φ = 23164773120.

The previous prime is 101345887427. The next prime is 101345887441. The reversal of 101345887440 is 44788543101.

101345887440 is a `hidden beast` number, since 10 + 13 + 4 + 588 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×101345887440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101345887441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10049116 + ... + 10059195.

Almost surely, 2^101345887440 is an apocalyptic number.

101345887440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101345887440 is an abundant number, since it is smaller than the sum of its proper divisors (287629299888).

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

101345887440 is a wasteful number, since it uses less digits than its factorization.

101345887440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20108337 (or 20108328 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 101345887440 in words is "one hundred one billion, three hundred forty-five million, eight hundred eighty-seven thousand, four hundred forty".