100602264132 has 144 divisors (see below), whose sum is σ = 268667642880. Its totient is φ = 31677776064.

The previous prime is 100602264101. The next prime is 100602264163. The reversal of 100602264132 is 231462206001.

100602264132 is a `hidden beast` number, since 1 + 0 + 0 + 602 + 26 + 4 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (100602264101) and next prime (100602264163).

It is a junction number, because it is equal to n+sod(n) for n = 100602264096 and 100602264105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31804383 + ... + 31807545.

It is an arithmetic number, because the mean of its divisors is an integer number (1865747520).

Almost surely, 2^100602264132 is an apocalyptic number.

100602264132 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 100602264132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134333821440).

100602264132 is an abundant number, since it is smaller than the sum of its proper divisors (168065378748).

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

100602264132 is a wasteful number, since it uses less digits than its factorization.

100602264132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 100602264132 in words is "one hundred billion, six hundred two million, two hundred sixty-four thousand, one hundred thirty-two".