106442977536 has 243 divisors, whose sum is σ = 357375736263. Its totient is φ = 30380958720.

The previous prime is 106442977513. The next prime is 106442977559. The reversal of 106442977536 is 635779244601.

The square root of 106442977536 is 326256.

It is a perfect power (a square), and thus also a powerful number.

106442977536 is a `hidden beast` number, since 1 + 0 + 64 + 42 + 9 + 7 + 7 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (106442977513) and next prime (106442977559).

It is a super-2 number, since 2×106442977536² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109621531 + ... + 109622501.

Almost surely, 2^106442977536 is an apocalyptic number.

106442977536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106442977536 is the 326256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106442977536

106442977536 is an abundant number, since it is smaller than the sum of its proper divisors (250932758727).

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

106442977536 is an frugal number, since it uses more digits than its factorization.

106442977536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 106442977536 in words is "one hundred six billion, four hundred forty-two million, nine hundred seventy-seven thousand, five hundred thirty-six".