106077570500 has 48 divisors (see below), whose sum is σ = 252734646528. Its totient is φ = 38573660000.

The previous prime is 106077570493. The next prime is 106077570539. The reversal of 106077570500 is 5075770601.

It is a super-2 number, since 2×106077570500² (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 15 ways as a sum of consecutive naturals, for example, 9637916 + ... + 9648915.

It is an arithmetic number, because the mean of its divisors is an integer number (5265305136).

Almost surely, 2^106077570500 is an apocalyptic number.

106077570500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106077570500 is an abundant number, since it is smaller than the sum of its proper divisors (146657076028).

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

106077570500 is a wasteful number, since it uses less digits than its factorization.

106077570500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19286861 (or 19286849 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 38.

The spelling of 106077570500 in words is "one hundred six billion, seventy-seven million, five hundred seventy thousand, five hundred".