100058000 has 120 divisors (see below), whose sum is σ = 281716344. Its totient is φ = 34272000.

The previous prime is 100057949. The next prime is 100058017. The reversal of 100058000 is 850001.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 97140736 = 1708^2 + 9856^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 97490 + ... + 98510.

Almost surely, 2^100058000 is an apocalyptic number.

100058000 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 100058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140858172).

100058000 is an abundant number, since it is smaller than the sum of its proper divisors (181658344).

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

100058000 is a wasteful number, since it uses less digits than its factorization.

100058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 100058000 is about 10002.8995796219. The cubic root of 100058000 is about 464.2486034018.

The spelling of 100058000 in words is "one hundred million, fifty-eight thousand".