100626048 has 96 divisors (see below), whose sum is σ = 292502340. Its totient is φ = 33202176.

The previous prime is 100626041. The next prime is 100626049. The reversal of 100626048 is 840626001.

It can be written as a sum of positive squares in 2 ways, for example, as 69355584 + 31270464 = 8328^2 + 5592^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100626041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129790 + ... + 130562.

Almost surely, 2^100626048 is an apocalyptic number.

100626048 is a gapful number since it is divisible by the number (18) 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 100626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146251170).

100626048 is an abundant number, since it is smaller than the sum of its proper divisors (191876292).

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

100626048 is a wasteful number, since it uses less digits than its factorization.

100626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100626048 is about 10031.2535607470. The cubic root of 100626048 is about 465.1254881575.

It can be divided in two parts, 10062 and 6048, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 100626048 in words is "one hundred million, six hundred twenty-six thousand, forty-eight".