106407524057 has 16 divisors (see below), whose sum is σ = 118628294400. Its totient is φ = 94851959040.

The previous prime is 106407524051. The next prime is 106407524089. The reversal of 106407524057 is 750425704601.

It is a cyclic number.

It is not a de Polignac number, because 106407524057 - 2⁶ = 106407523993 is a prime.

It is a super-2 number, since 2×106407524057² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106407524051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223807 + ... + 1307867.

It is an arithmetic number, because the mean of its divisors is an integer number (7414268400).

Almost surely, 2^106407524057 is an apocalyptic number.

106407524057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106407524057 is a deficient number, since it is larger than the sum of its proper divisors (12220770343).

106407524057 is a wasteful number, since it uses less digits than its factorization.

106407524057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88016.

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 106407524057 in words is "one hundred six billion, four hundred seven million, five hundred twenty-four thousand, fifty-seven".