107083289952 has 96 divisors (see below), whose sum is σ = 330698440800. Its totient is φ = 33594753024.

The previous prime is 107083289947. The next prime is 107083289993. The reversal of 107083289952 is 259982380701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107083289952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3630577 + ... + 3659952.

It is an arithmetic number, because the mean of its divisors is an integer number (3444775425).

Almost surely, 2^107083289952 is an apocalyptic number.

107083289952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107083289952 is an abundant number, since it is smaller than the sum of its proper divisors (223615150848).

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

107083289952 is a wasteful number, since it uses less digits than its factorization.

107083289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290565 (or 7290551 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 107083289952 in words is "one hundred seven billion, eighty-three million, two hundred eighty-nine thousand, nine hundred fifty-two".