10606221677400 has 96 divisors (see below), whose sum is σ = 33295480857600. Its totient is φ = 2792524176000.

The previous prime is 10606221677383. The next prime is 10606221677407. The reversal of 10606221677400 is 477612260601.

It is a super-2 number, since 2×10606221677400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10606221677407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111832576 + ... + 111927375.

It is an arithmetic number, because the mean of its divisors is an integer number (346827925600).

Almost surely, 2^{10606221677400} is an apocalyptic number.

10606221677400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10606221677400 is an abundant number, since it is smaller than the sum of its proper divisors (22689259180200).

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

10606221677400 is a wasteful number, since it uses less digits than its factorization.

10606221677400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223760049 (or 223760040 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 10606221677400 in words is "ten trillion, six hundred six billion, two hundred twenty-one million, six hundred seventy-seven thousand, four hundred".