106161278976 has 117 divisors (see below), whose sum is σ = 306831509881. Its totient is φ = 35366240256.

The previous prime is 106161278969. The next prime is 106161279001. The reversal of 106161278976 is 679872161601.

The square root of 106161278976 is 325824.

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

106161278976 is a `hidden beast` number, since 1 + 0 + 616 + 12 + 7 + 8 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102195302400 + 3965976576 = 319680^2 + 62976^2 .

It is a super-2 number, since 2×106161278976² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62557360 + ... + 62559056.

Almost surely, 2^106161278976 is an apocalyptic number.

106161278976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106161278976 is the 325824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106161278976

106161278976 is an abundant number, since it is smaller than the sum of its proper divisors (200670230905).

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

106161278976 is an frugal number, since it uses more digits than its factorization.

106161278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 106161278976 in words is "one hundred six billion, one hundred sixty-one million, two hundred seventy-eight thousand, nine hundred seventy-six".