106417537540272 has 120 divisors (see below), whose sum is σ = 340883695975680. Its totient is φ = 30358872432000.

The previous prime is 106417537540271. The next prime is 106417537540291. The reversal of 106417537540272 is 272045735714601.

106417537540272 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 75 + 3 + 7 + 540 + 27 + 2 = 666.

It is a super-2 number, since 2×106417537540272² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106417537540271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79436604 + ... + 80765147.

It is an arithmetic number, because the mean of its divisors is an integer number (2840697466464).

Almost surely, 2^{106417537540272} is an apocalyptic number.

106417537540272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106417537540272 is an abundant number, since it is smaller than the sum of its proper divisors (234466158435408).

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

106417537540272 is a wasteful number, since it uses less digits than its factorization.

106417537540272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160202431 (or 160202422 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 106417537540272 in words is "one hundred six trillion, four hundred seventeen billion, five hundred thirty-seven million, five hundred forty thousand, two hundred seventy-two".