105553576421400 has 96 divisors (see below), whose sum is σ = 344437986254400. Its totient is φ = 26666166672000.

The previous prime is 105553576421389. The next prime is 105553576421429. The reversal of 105553576421400 is 4124675355501.

It is a super-2 number, since 2×105553576421400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105553576421400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4629531426 + ... + 4629554225.

It is an arithmetic number, because the mean of its divisors is an integer number (3587895690150).

Almost surely, 2^{105553576421400} is an apocalyptic number.

105553576421400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105553576421400 is an abundant number, since it is smaller than the sum of its proper divisors (238884409833000).

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

105553576421400 is a wasteful number, since it uses less digits than its factorization.

105553576421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259085689 (or 9259085680 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 105553576421400 in words is "one hundred five trillion, five hundred fifty-three billion, five hundred seventy-six million, four hundred twenty-one thousand, four hundred".