106021094400 has 1848 divisors, whose sum is σ = 466089126720. Its totient is φ = 23648993280.

The previous prime is 106021094383. The next prime is 106021094429. The reversal of 106021094400 is 4490120601.

106021094400 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 210 + 9 + 440 + 0 = 666.

It is a super-2 number, since 2×106021094400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4609612789 + ... + 4609612811.

Almost surely, 2^106021094400 is an apocalyptic number.

106021094400 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 106021094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233044563360).

106021094400 is an abundant number, since it is smaller than the sum of its proper divisors (360068032320).

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

106021094400 is a wasteful number, since it uses less digits than its factorization.

106021094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 106021094400 in words is "one hundred six billion, twenty-one million, ninety-four thousand, four hundred".