105553494900 has 576 divisors, whose sum is σ = 410607052800. Its totient is φ = 22723338240.

The previous prime is 105553494863. The next prime is 105553494911. The reversal of 105553494900 is 9494355501.

105553494900 is a `hidden beast` number, since 1 + 0 + 5 + 553 + 4 + 9 + 4 + 90 + 0 = 666.

It is a super-2 number, since 2×105553494900² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69305539 + ... + 69307061.

Almost surely, 2^105553494900 is an apocalyptic number.

105553494900 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 105553494900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205303526400).

105553494900 is an abundant number, since it is smaller than the sum of its proper divisors (305053557900).

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

105553494900 is a wasteful number, since it uses less digits than its factorization.

105553494900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 105553494900 in words is "one hundred five billion, five hundred fifty-three million, four hundred ninety-four thousand, nine hundred".