100348200 has 96 divisors (see below), whose sum is σ = 345662400. Its totient is φ = 26758080.

The previous prime is 100348189. The next prime is 100348211. The reversal of 100348200 is 2843001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100348189) and next prime (100348211).

It is a super-2 number, since 2×100348200² = 20139522486480000, which contains 22 as substring.

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, 3892 + ... + 14691.

It is an arithmetic number, because the mean of its divisors is an integer number (3600650).

Almost surely, 2^100348200 is an apocalyptic number.

100348200 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 100348200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172831200).

100348200 is an abundant number, since it is smaller than the sum of its proper divisors (245314200).

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

100348200 is a wasteful number, since it uses less digits than its factorization.

100348200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18608 (or 18593 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100348200 is about 10017.3948709233. The cubic root of 100348200 is about 464.6969930217.

The spelling of 100348200 in words is "one hundred million, three hundred forty-eight thousand, two hundred".