100162680 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 25062912.

The previous prime is 100162669. The next prime is 100162693. The reversal of 100162680 is 86261001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100162680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449049 + ... + 449271.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^100162680 is an apocalyptic number.

100162680 is a gapful number since it is divisible by the number (10) 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 100162680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

100162680 is an abundant number, since it is smaller than the sum of its proper divisors (219171720).

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

100162680 is a wasteful number, since it uses less digits than its factorization.

100162680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100162680 is about 10008.1306945903. The cubic root of 100162680 is about 464.4104448876.

The spelling of 100162680 in words is "one hundred million, one hundred sixty-two thousand, six hundred eighty".