100762080 has 96 divisors (see below), whose sum is σ = 331236864. Its totient is φ = 25698816.

The previous prime is 100762069. The next prime is 100762091. The reversal of 100762080 is 80267001.

It is an interprime number because it is at equal distance from previous prime (100762069) and next prime (100762091).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100762080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6477 + ... + 15603.

It is an arithmetic number, because the mean of its divisors is an integer number (3450384).

Almost surely, 2^100762080 is an apocalyptic number.

100762080 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 100762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165618432).

100762080 is an abundant number, since it is smaller than the sum of its proper divisors (230474784).

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

100762080 is a wasteful number, since it uses less digits than its factorization.

100762080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 100762080 is about 10038.0316795675. The cubic root of 100762080 is about 465.3349881214.

The spelling of 100762080 in words is "one hundred million, seven hundred sixty-two thousand, eighty".