101460108816 has 480 divisors, whose sum is σ = 334948561920. Its totient is φ = 29715206400.

The previous prime is 101460108809. The next prime is 101460108859. The reversal of 101460108816 is 618801064101.

101460108816 is a `hidden beast` number, since 10 + 1 + 460 + 108 + 81 + 6 = 666.

It is a super-3 number, since 3×101460108816³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 131254606 + ... + 131255378.

It is an arithmetic number, because the mean of its divisors is an integer number (697809504).

Almost surely, 2^101460108816 is an apocalyptic number.

101460108816 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 101460108816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167474280960).

101460108816 is an abundant number, since it is smaller than the sum of its proper divisors (233488453104).

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

101460108816 is an equidigital number, since it uses as much as digits as its factorization.

101460108816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

It can be divided in two parts, 101460 and 108816, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 101460108816 in words is "one hundred one billion, four hundred sixty million, one hundred eight thousand, eight hundred sixteen".