106010577600 has 84 divisors (see below), whose sum is σ = 347803052424. Its totient is φ = 28269486080.

The previous prime is 106010577557. The next prime is 106010577601. The reversal of 106010577600 is 6775010601.

It is a super-2 number, since 2×106010577600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106010577601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11037969 + ... + 11047568.

Almost surely, 2^106010577600 is an apocalyptic number.

106010577600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010577600 is an abundant number, since it is smaller than the sum of its proper divisors (241792474824).

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

106010577600 is a wasteful number, since it uses less digits than its factorization.

106010577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22085562 (or 22085547 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 106010577600 in words is "one hundred six billion, ten million, five hundred seventy-seven thousand, six hundred".