101416006032 has 320 divisors, whose sum is σ = 310186813440. Its totient is φ = 28217548800.

The previous prime is 101416006019. The next prime is 101416006033. The reversal of 101416006032 is 230600614101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101416005993 and 101416006011.

It is not an unprimeable number, because it can be changed into a prime (101416006033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160722357 + ... + 160722987.

It is an arithmetic number, because the mean of its divisors is an integer number (969333792).

Almost surely, 2^101416006032 is an apocalyptic number.

101416006032 is a gapful number since it is divisible by the number (12) 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 101416006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155093406720).

101416006032 is an abundant number, since it is smaller than the sum of its proper divisors (208770807408).

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

101416006032 is a wasteful number, since it uses less digits than its factorization.

101416006032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 101416006032 in words is "one hundred one billion, four hundred sixteen million, six thousand, thirty-two".