107146798752 has 96 divisors (see below), whose sum is σ = 321492495744. Its totient is φ = 30608409600.

The previous prime is 107146798729. The next prime is 107146798763. The reversal of 107146798752 is 257897641701.

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

It is a super-2 number, since 2×107146798752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107146798692 and 107146798701.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6833802 + ... + 6849462.

It is an arithmetic number, because the mean of its divisors is an integer number (3348880164).

Almost surely, 2^107146798752 is an apocalyptic number.

107146798752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107146798752 is an abundant number, since it is smaller than the sum of its proper divisors (214345696992).

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

107146798752 is a wasteful number, since it uses less digits than its factorization.

107146798752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25862 (or 25854 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The spelling of 107146798752 in words is "one hundred seven billion, one hundred forty-six million, seven hundred ninety-eight thousand, seven hundred fifty-two".