105953486400 has 672 divisors, whose sum is σ = 405547535360. Its totient is φ = 26873856000.

The previous prime is 105953486399. The next prime is 105953486423. The reversal of 105953486400 is 4684359501.

105953486400 is a `hidden beast` number, since 1 + 0 + 59 + 534 + 8 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×105953486400² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81690552 + ... + 81691848.

Almost surely, 2^105953486400 is an apocalyptic number.

105953486400 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 105953486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202773767680).

105953486400 is an abundant number, since it is smaller than the sum of its proper divisors (299594048960).

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

105953486400 is a wasteful number, since it uses less digits than its factorization.

105953486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 105953486400 in words is "one hundred five billion, nine hundred fifty-three million, four hundred eighty-six thousand, four hundred".