106810722432 has 72 divisors (see below), whose sum is σ = 307390903365. Its totient is φ = 35599876608.

The previous prime is 106810722409. The next prime is 106810722433. The reversal of 106810722432 is 234227018601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 64219669056 + 42591053376 = 253416^2 + 206376^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=231096.

It is a super-2 number, since 2×106810722432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106810722433) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11087794 + ... + 11097422.

Almost surely, 2^106810722432 is an apocalyptic number.

106810722432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106810722432 is an abundant number, since it is smaller than the sum of its proper divisors (200580180933).

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

106810722432 is an frugal number, since it uses more digits than its factorization.

106810722432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19278 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106810722432 in words is "one hundred six billion, eight hundred ten million, seven hundred twenty-two thousand, four hundred thirty-two".