101834100 has 54 divisors (see below), whose sum is σ = 319196150. Its totient is φ = 27155520.

The previous prime is 101834099. The next prime is 101834123. The reversal of 101834100 is 1438101.

It can be written as a sum of positive squares in 3 ways, for example, as 8054244 + 93779856 = 2838^2 + 9684^2 .

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 17 ways as a sum of consecutive naturals, for example, 55675 + ... + 57474.

Almost surely, 2^101834100 is an apocalyptic number.

101834100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101834100 is an abundant number, since it is smaller than the sum of its proper divisors (217362050).

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

101834100 is a wasteful number, since it uses less digits than its factorization.

101834100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113169 (or 113159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101834100 is about 10091.2883221123. The cubic root of 101834100 is about 466.9794218671.

The spelling of 101834100 in words is "one hundred one million, eight hundred thirty-four thousand, one hundred".