101628677340 has 72 divisors (see below), whose sum is σ = 310342687200. Its totient is φ = 26919087744.

The previous prime is 101628677323. The next prime is 101628677369. The reversal of 101628677340 is 43776826101.

101628677340 is a `hidden beast` number, since 1 + 0 + 162 + 86 + 77 + 340 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1867824 + ... + 1921463.

It is an arithmetic number, because the mean of its divisors is an integer number (4310315100).

Almost surely, 2^101628677340 is an apocalyptic number.

101628677340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101628677340 is an abundant number, since it is smaller than the sum of its proper divisors (208714009860).

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

101628677340 is a wasteful number, since it uses less digits than its factorization.

101628677340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789451 (or 3789446 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 101628677340 in words is "one hundred one billion, six hundred twenty-eight million, six hundred seventy-seven thousand, three hundred forty".