106976272 has 20 divisors (see below), whose sum is σ = 223210540. Its totient is φ = 49373568.

The previous prime is 106976237. The next prime is 106976281. The reversal of 106976272 is 272679601.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 78074896 = 5376^2 + 8836^2 .

It is a super-2 number, since 2×106976272² = 22887845542035968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256947 + ... + 257362.

It is an arithmetic number, because the mean of its divisors is an integer number (11160527).

Almost surely, 2^106976272 is an apocalyptic number.

It is an amenable number.

106976272 is an abundant number, since it is smaller than the sum of its proper divisors (116234268).

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

106976272 is a wasteful number, since it uses less digits than its factorization.

106976272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514330 (or 514324 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 106976272 is about 10342.9334330257. The cubic root of 106976272 is about 474.7108445114.

The spelling of 106976272 in words is "one hundred six million, nine hundred seventy-six thousand, two hundred seventy-two".