1098953100 has 432 divisors, whose sum is σ = 4315723776. Its totient is φ = 228096000.

The previous prime is 1098953033. The next prime is 1098953101. The reversal of 1098953100 is 13598901.

It is a happy number.

It is a super-2 number, since 2×1098953100² = 2415395831999220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1098953101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3319935 + ... + 3320265.

Almost surely, 2^1098953100 is an apocalyptic number.

1098953100 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 1098953100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157861888).

1098953100 is an abundant number, since it is smaller than the sum of its proper divisors (3216770676).

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

1098953100 is a wasteful number, since it uses less digits than its factorization.

1098953100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1098953100 is about 33150.4615352486. The cubic root of 1098953100 is about 1031.9525284636.

The spelling of 1098953100 in words is "one billion, ninety-eight million, nine hundred fifty-three thousand, one hundred".