10098995400 has 144 divisors (see below), whose sum is σ = 36524784660. Its totient is φ = 2485900800.

The previous prime is 10098995381. The next prime is 10098995443. The reversal of 10098995400 is 459989001.

10098995400 is a `hidden beast` number, since 10 + 0 + 9 + 8 + 99 + 540 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45724644 + 10053270756 = 6762^2 + 100266^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192391 + ... + 239190.

Almost surely, 2^10098995400 is an apocalyptic number.

10098995400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10098995400 is an abundant number, since it is smaller than the sum of its proper divisors (26425789260).

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

10098995400 is a wasteful number, since it uses less digits than its factorization.

10098995400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431616 (or 431604 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10098995400 in words is "ten billion, ninety-eight million, nine hundred ninety-five thousand, four hundred".