107416157376 has 224 divisors, whose sum is σ = 324144119808. Its totient is φ = 31075292160.

The previous prime is 107416157351. The next prime is 107416157423. The reversal of 107416157376 is 673751614701.

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

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, 29483811 + ... + 29487453.

Almost surely, 2^107416157376 is an apocalyptic number.

107416157376 is a gapful number since it is divisible by the number (16) 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 107416157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162072059904).

107416157376 is an abundant number, since it is smaller than the sum of its proper divisors (216727962432).

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

107416157376 is a wasteful number, since it uses less digits than its factorization.

107416157376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 107416157376 in words is "one hundred seven billion, four hundred sixteen million, one hundred fifty-seven thousand, three hundred seventy-six".