101507945880 has 256 divisors, whose sum is σ = 352120296960. Its totient is φ = 23136051200.

The previous prime is 101507945879. The next prime is 101507945951. The reversal of 101507945880 is 88549705101.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 29327350 + ... + 29330810.

It is an arithmetic number, because the mean of its divisors is an integer number (1375469910).

Almost surely, 2^101507945880 is an apocalyptic number.

101507945880 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 101507945880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176060148480).

101507945880 is an abundant number, since it is smaller than the sum of its proper divisors (250612351080).

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

101507945880 is a wasteful number, since it uses less digits than its factorization.

101507945880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 101507945880 in words is "one hundred one billion, five hundred seven million, nine hundred forty-five thousand, eight hundred eighty".