100146567312 has 120 divisors (see below), whose sum is σ = 307440614208. Its totient is φ = 30179692800.

The previous prime is 100146567247. The next prime is 100146567349. The reversal of 100146567312 is 213765641001.

100146567312 is a `hidden beast` number, since 100 + 1 + 465 + 67 + 31 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 112053 + ... + 461355.

Almost surely, 2^100146567312 is an apocalyptic number.

100146567312 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 100146567312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153720307104).

100146567312 is an abundant number, since it is smaller than the sum of its proper divisors (207294046896).

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

100146567312 is a wasteful number, since it uses less digits than its factorization.

100146567312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349509 (or 349500 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 100146567312 in words is "one hundred billion, one hundred forty-six million, five hundred sixty-seven thousand, three hundred twelve".