106776166400 has 102 divisors (see below), whose sum is σ = 264806935572. Its totient is φ = 42709811200.

The previous prime is 106776166361. The next prime is 106776166411. The reversal of 106776166400 is 4661677601.

It is a super-2 number, since 2×106776166400² (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 5 ways as a sum of consecutive naturals, for example, 1605815 + ... + 1670985.

Almost surely, 2^106776166400 is an apocalyptic number.

106776166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106776166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132403467786).

106776166400 is an abundant number, since it is smaller than the sum of its proper divisors (158030769172).

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

106776166400 is an frugal number, since it uses more digits than its factorization.

106776166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65213 (or 65178 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 106776166400 in words is "one hundred six billion, seven hundred seventy-six million, one hundred sixty-six thousand, four hundred".