106762127100 has 72 divisors (see below), whose sum is σ = 309058604400. Its totient is φ = 28455137280.

The previous prime is 106762127083. The next prime is 106762127113. The reversal of 106762127100 is 1721267601.

It is a super-2 number, since 2×106762127100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493404 + ... + 675996.

Almost surely, 2^106762127100 is an apocalyptic number.

106762127100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106762127100 is an abundant number, since it is smaller than the sum of its proper divisors (202296477300).

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

106762127100 is a wasteful number, since it uses less digits than its factorization.

106762127100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184559 (or 184552 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 106762127100 in words is "one hundred six billion, seven hundred sixty-two million, one hundred twenty-seven thousand, one hundred".