107264771904 has 112 divisors (see below), whose sum is σ = 285211967040. Its totient is φ = 35578122240.

The previous prime is 107264771891. The next prime is 107264771921. The reversal of 107264771904 is 409177462701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36199927 + ... + 36202889.

It is an arithmetic number, because the mean of its divisors is an integer number (2546535420).

Almost surely, 2^107264771904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107264771904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142605983520).

107264771904 is an abundant number, since it is smaller than the sum of its proper divisors (177947195136).

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

107264771904 is a wasteful number, since it uses less digits than its factorization.

107264771904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 107264771904 in words is "one hundred seven billion, two hundred sixty-four million, seven hundred seventy-one thousand, nine hundred four".