100175040 has 168 divisors, whose sum is σ = 393862560. Its totient is φ = 22892544.

The previous prime is 100175039. The next prime is 100175057. The reversal of 100175040 is 40571001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17676 + ... + 22644.

It is an arithmetic number, because the mean of its divisors is an integer number (2344420).

Almost surely, 2^100175040 is an apocalyptic number.

100175040 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 100175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196931280).

100175040 is an abundant number, since it is smaller than the sum of its proper divisors (293687520).

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

100175040 is a wasteful number, since it uses less digits than its factorization.

100175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100175040 is about 10008.7481734730. The cubic root of 100175040 is about 464.4295467361.

The spelling of 100175040 in words is "one hundred million, one hundred seventy-five thousand, forty".