100851300 has 216 divisors, whose sum is σ = 352602432. Its totient is φ = 23904000.

The previous prime is 100851263. The next prime is 100851301. The reversal of 100851300 is 3158001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100851301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 603817 + ... + 603983.

Almost surely, 2^100851300 is an apocalyptic number.

100851300 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 100851300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

100851300 is an abundant number, since it is smaller than the sum of its proper divisors (251751132).

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

100851300 is a wasteful number, since it uses less digits than its factorization.

100851300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100851300 is about 10042.4747945912. The cubic root of 100851300 is about 465.4722915588.

The spelling of 100851300 in words is "one hundred million, eight hundred fifty-one thousand, three hundred".