102059100 has 324 divisors, whose sum is σ = 384084792. Its totient is φ = 22464000.

The previous prime is 102059077. The next prime is 102059147. The reversal of 102059100 is 1950201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1673070 + ... + 1673130.

Almost surely, 2^102059100 is an apocalyptic number.

102059100 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 102059100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192042396).

102059100 is an abundant number, since it is smaller than the sum of its proper divisors (282025692).

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

102059100 is a wasteful number, since it uses less digits than its factorization.

102059100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 102059100 is about 10102.4304006511. The cubic root of 102059100 is about 467.3230954869.

The spelling of 102059100 in words is "one hundred two million, fifty-nine thousand, one hundred".