100015051005672 has 128 divisors (see below), whose sum is σ = 275019058944000. Its totient is φ = 30057966973440.

The previous prime is 100015051005671. The next prime is 100015051005773. The reversal of 100015051005672 is 276500150510001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100015051005671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33541329 + ... + 36401247.

It is an arithmetic number, because the mean of its divisors is an integer number (2148586398000).

Almost surely, 2^{100015051005672} is an apocalyptic number.

100015051005672 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 100015051005672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137509529472000).

100015051005672 is an abundant number, since it is smaller than the sum of its proper divisors (175004007938328).

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

100015051005672 is a wasteful number, since it uses less digits than its factorization.

100015051005672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861031 (or 2861027 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 100015051005672 in words is "one hundred trillion, fifteen billion, fifty-one million, five thousand, six hundred seventy-two".