107706470400 has 468 divisors, whose sum is σ = 406151717920. Its totient is φ = 27205632000.

The previous prime is 107706470383. The next prime is 107706470413. The reversal of 107706470400 is 4074607701.

107706470400 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 0 + 647 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17507325 + ... + 17513475.

Almost surely, 2^107706470400 is an apocalyptic number.

107706470400 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 107706470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203075858960).

107706470400 is an abundant number, since it is smaller than the sum of its proper divisors (298445247520).

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

107706470400 is a wasteful number, since it uses less digits than its factorization.

107706470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 107706470400 in words is "one hundred seven billion, seven hundred six million, four hundred seventy thousand, four hundred".