100261600 has 72 divisors (see below), whose sum is σ = 255452400. Its totient is φ = 38353920.

The previous prime is 100261549. The next prime is 100261627. The reversal of 100261600 is 6162001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15676 + ... + 21124.

It is an arithmetic number, because the mean of its divisors is an integer number (3547950).

Almost surely, 2^100261600 is an apocalyptic number.

100261600 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 100261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127726200).

100261600 is an abundant number, since it is smaller than the sum of its proper divisors (155190800).

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

100261600 is a wasteful number, since it uses less digits than its factorization.

100261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 100261600 is about 10013.0714568508. The cubic root of 100261600 is about 464.5632774806.

The spelling of 100261600 in words is "one hundred million, two hundred sixty-one thousand, six hundred".