107644330400 has 72 divisors (see below), whose sum is σ = 263249674380. Its totient is φ = 42981877760.

The previous prime is 107644330397. The next prime is 107644330457. The reversal of 107644330400 is 4033446701.

It can be written as a sum of positive squares in 6 ways, for example, as 30629200144 + 77015130256 = 175012^2 + 277516^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336962 + ... + 573438.

Almost surely, 2^107644330400 is an apocalyptic number.

107644330400 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 107644330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131624837190).

107644330400 is an abundant number, since it is smaller than the sum of its proper divisors (155605343980).

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

107644330400 is a wasteful number, since it uses less digits than its factorization.

107644330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237066 (or 237053 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 107644330400 in words is "one hundred seven billion, six hundred forty-four million, three hundred thirty thousand, four hundred".