101534356880 has 160 divisors (see below), whose sum is σ = 280431158400. Its totient is φ = 33772032000.

The previous prime is 101534356843. The next prime is 101534356883. The reversal of 101534356880 is 88653435101.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (101534356883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380180 + ... + 589580.

It is an arithmetic number, because the mean of its divisors is an integer number (1752694740).

Almost surely, 2^101534356880 is an apocalyptic number.

101534356880 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 101534356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140215579200).

101534356880 is an abundant number, since it is smaller than the sum of its proper divisors (178896801520).

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

101534356880 is a wasteful number, since it uses less digits than its factorization.

101534356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209473 (or 209467 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 101534356880 in words is "one hundred one billion, five hundred thirty-four million, three hundred fifty-six thousand, eight hundred eighty".