105053222510400 has 168 divisors, whose sum is σ = 345784796932960. Its totient is φ = 27922940835840.

The previous prime is 105053222510387. The next prime is 105053222510419. The reversal of 105053222510400 is 4015222350501.

It is a super-2 number, since 2×105053222510400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34171495 + ... + 37118694.

Almost surely, 2^{105053222510400} is an apocalyptic number.

105053222510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105053222510400 is an abundant number, since it is smaller than the sum of its proper divisors (240731574422560).

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

105053222510400 is a wasteful number, since it uses less digits than its factorization.

105053222510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71290521 (or 71290506 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105053222510400 its reverse (4015222350501), we get a palindrome (109068444860901).

The spelling of 105053222510400 in words is "one hundred five trillion, fifty-three billion, two hundred twenty-two million, five hundred ten thousand, four hundred".