101274768 has 180 divisors, whose sum is σ = 341073408. Its totient is φ = 27941760.

The previous prime is 101274743. The next prime is 101274779. The reversal of 101274768 is 867472101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218505 + ... + 218967.

Almost surely, 2^101274768 is an apocalyptic number.

101274768 is a gapful number since it is divisible by the number (18) 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 101274768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170536704).

101274768 is an abundant number, since it is smaller than the sum of its proper divisors (239798640).

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

101274768 is a wasteful number, since it uses less digits than its factorization.

101274768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 101274768 is about 10063.5365553070. The cubic root of 101274768 is about 466.1228777006.

The spelling of 101274768 in words is "one hundred one million, two hundred seventy-four thousand, seven hundred sixty-eight".