107208346560 has 672 divisors, whose sum is σ = 419990796288. Its totient is φ = 23061749760.

The previous prime is 107208346541. The next prime is 107208346607. The reversal of 107208346560 is 65643802701.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×107208346560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53953887 + ... + 53955873.

It is an arithmetic number, because the mean of its divisors is an integer number (624986304).

Almost surely, 2^107208346560 is an apocalyptic number.

107208346560 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 107208346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209995398144).

107208346560 is an abundant number, since it is smaller than the sum of its proper divisors (312782449728).

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

107208346560 is a wasteful number, since it uses less digits than its factorization.

107208346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 107208346560 in words is "one hundred seven billion, two hundred eight million, three hundred forty-six thousand, five hundred sixty".