107155567540 has 96 divisors (see below), whose sum is σ = 268601437440. Its totient is φ = 35140137984.

The previous prime is 107155567523. The next prime is 107155567579. The reversal of 107155567540 is 45765551701.

107155567540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107155567540² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130312 + ... + 480928.

It is an arithmetic number, because the mean of its divisors is an integer number (2797931640).

Almost surely, 2^107155567540 is an apocalyptic number.

107155567540 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 107155567540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134300718720).

107155567540 is an abundant number, since it is smaller than the sum of its proper divisors (161445869900).

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

107155567540 is a wasteful number, since it uses less digits than its factorization.

107155567540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350729 (or 350727 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 46.

The spelling of 107155567540 in words is "one hundred seven billion, one hundred fifty-five million, five hundred sixty-seven thousand, five hundred forty".