106404121670400 has 216 divisors, whose sum is σ = 390173077342160. Its totient is φ = 28374432399360.

The previous prime is 106404121670377. The next prime is 106404121670507. The reversal of 106404121670400 is 4076121404601.

It is a happy number.

106404121670400 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 412 + 167 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×106404121670400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 307709497 + ... + 308055096.

Almost surely, 2^{106404121670400} is an apocalyptic number.

106404121670400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106404121670400 is an abundant number, since it is smaller than the sum of its proper divisors (283768955671760).

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

106404121670400 is an equidigital number, since it uses as much as digits as its factorization.

106404121670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615764628 (or 615764603 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106404121670400 in words is "one hundred six trillion, four hundred four billion, one hundred twenty-one million, six hundred seventy thousand, four hundred".