107073664152 has 128 divisors (see below), whose sum is σ = 346797427200. Its totient is φ = 26752923648.

The previous prime is 107073664151. The next prime is 107073664163. The reversal of 107073664152 is 251466370701.

It is a happy number.

It is a super-2 number, since 2×107073664152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107073664151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248673 + ... + 1331664.

It is an arithmetic number, because the mean of its divisors is an integer number (2709354900).

Almost surely, 2^107073664152 is an apocalyptic number.

107073664152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107073664152 is an abundant number, since it is smaller than the sum of its proper divisors (239723763048).

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

107073664152 is a wasteful number, since it uses less digits than its factorization.

107073664152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580385 (or 2580381 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 107073664152 in words is "one hundred seven billion, seventy-three million, six hundred sixty-four thousand, one hundred fifty-two".