107615637990 has 192 divisors, whose sum is σ = 334097611200. Its totient is φ = 24578007552.

The previous prime is 107615637977. The next prime is 107615637991. The reversal of 107615637990 is 99736516701.

It is a happy number.

107615637990 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 1 + 563 + 79 + 9 + 0 = 666.

107615637990 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 2×107615637990² (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 not an unprimeable number, because it can be changed into a prime (107615637991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21919656 + ... + 21924564.

It is an arithmetic number, because the mean of its divisors is an integer number (1740091725).

Almost surely, 2^107615637990 is an apocalyptic number.

107615637990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107615637990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167048805600).

107615637990 is an abundant number, since it is smaller than the sum of its proper divisors (226481973210).

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

107615637990 is a wasteful number, since it uses less digits than its factorization.

107615637990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 107615637990 in words is "one hundred seven billion, six hundred fifteen million, six hundred thirty-seven thousand, nine hundred ninety".