106102505700 has 54 divisors (see below), whose sum is σ = 332572412354. Its totient is φ = 28294001280.

The previous prime is 106102505699. The next prime is 106102505711. The reversal of 106102505700 is 7505201601.

106102505700 is a `hidden beast` number, since 10 + 61 + 0 + 25 + 0 + 570 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7194771684 + 98907734016 = 84822^2 + 314496^2 .

It is a super-2 number, since 2×106102505700² (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 17 ways as a sum of consecutive naturals, for example, 58944937 + ... + 58946736.

Almost surely, 2^106102505700 is an apocalyptic number.

106102505700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106102505700 is an abundant number, since it is smaller than the sum of its proper divisors (226469906654).

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

106102505700 is a wasteful number, since it uses less digits than its factorization.

106102505700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117891693 (or 117891683 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 106102505700 in words is "one hundred six billion, one hundred two million, five hundred five thousand, seven hundred".