107137105920 has 1024 divisors, whose sum is σ = 433348876800. Its totient is φ = 25225592832.

The previous prime is 107137105919. The next prime is 107137105921. The reversal of 107137105920 is 29501731701.

It is an interprime number because it is at equal distance from previous prime (107137105919) and next prime (107137105921).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×107137105920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107137105921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4658135029 + ... + 4658135051.

Almost surely, 2^107137105920 is an apocalyptic number.

107137105920 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 107137105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216674438400).

107137105920 is an abundant number, since it is smaller than the sum of its proper divisors (326211770880).

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

107137105920 is an frugal number, since it uses more digits than its factorization.

107137105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 107137105920 in words is "one hundred seven billion, one hundred thirty-seven million, one hundred five thousand, nine hundred twenty".