100250000 has 70 divisors (see below), whose sum is σ = 243395322. Its totient is φ = 40000000.

The previous prime is 100249987. The next prime is 100250011. The reversal of 100250000 is 52001.

It can be written as a sum of positive squares in 7 ways, for example, as 90935296 + 9314704 = 9536^2 + 3052^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100250000.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 249800 + ... + 250200.

Almost surely, 2^100250000 is an apocalyptic number.

100250000 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 100250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121697661).

100250000 is an abundant number, since it is smaller than the sum of its proper divisors (143145322).

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

100250000 is an frugal number, since it uses more digits than its factorization.

100250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 100250000 is about 10012.4921972504. The cubic root of 100250000 is about 464.5453605451.

It can be divided in two parts, 100 and 250000, that multiplied together give a square (25000000 = 5000²).

The spelling of 100250000 in words is "one hundred million, two hundred fifty thousand".