101050972 has 36 divisors (see below), whose sum is σ = 195331248. Its totient is φ = 45707200.

The previous prime is 101050969. The next prime is 101050973. The reversal of 101050972 is 279050101.

It is a super-2 number, since 2×101050972² = 20422597884289568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101050973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135633 + ... + 136375.

It is an arithmetic number, because the mean of its divisors is an integer number (5425868).

Almost surely, 2^101050972 is an apocalyptic number.

It is an amenable number.

101050972 is a deficient number, since it is larger than the sum of its proper divisors (94280276).

101050972 is a wasteful number, since it uses less digits than its factorization.

101050972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 101050972 is about 10052.4112530278. The cubic root of 101050972 is about 465.7792798785.

The spelling of 101050972 in words is "one hundred one million, fifty thousand, nine hundred seventy-two".