100608480 has 240 divisors, whose sum is σ = 406153440. Its totient is φ = 22975488.

The previous prime is 100608467. The next prime is 100608493. The reversal of 100608480 is 84806001.

100608480 is a `hidden beast` number, since 10 + 0 + 608 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100608467) and next prime (100608493).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90166 + ... + 91274.

It is an arithmetic number, because the mean of its divisors is an integer number (1692306).

Almost surely, 2^100608480 is an apocalyptic number.

100608480 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 100608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203076720).

100608480 is an abundant number, since it is smaller than the sum of its proper divisors (305544960).

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

100608480 is a wasteful number, since it uses less digits than its factorization.

100608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100608480 is about 10030.3778592833. The cubic root of 100608480 is about 465.0984182940.

The spelling of 100608480 in words is "one hundred million, six hundred eight thousand, four hundred eighty".