107101399860 has 288 divisors, whose sum is σ = 400205594880. Its totient is φ = 22576859136.

The previous prime is 107101399859. The next prime is 107101399879. The reversal of 107101399860 is 68993101701.

It is a super-2 number, since 2×107101399860² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24289336 + ... + 24293744.

It is an arithmetic number, because the mean of its divisors is an integer number (1389602760).

Almost surely, 2^107101399860 is an apocalyptic number.

107101399860 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 107101399860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200102797440).

107101399860 is an abundant number, since it is smaller than the sum of its proper divisors (293104195020).

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

107101399860 is a wasteful number, since it uses less digits than its factorization.

107101399860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 107101399860 in words is "one hundred seven billion, one hundred one million, three hundred ninety-nine thousand, eight hundred sixty".