105553011403152 has 30 divisors (see below), whose sum is σ = 295401830524502. Its totient is φ = 35184337134336.

The previous prime is 105553011403087. The next prime is 105553011403153. The reversal of 105553011403152 is 251304110355501.

105553011403152 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 530 + 1 + 1 + 40 + 31 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103097948608656 + 2455062794496 = 10153716^2 + 1566864^2 .

It is a super-2 number, since 2×105553011403152² (a number of 29 digits) contains 22 as substring.

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 (105553011403153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 366503511673 + ... + 366503511960.

Almost surely, 2^{105553011403152} is an apocalyptic number.

105553011403152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105553011403152 is an abundant number, since it is smaller than the sum of its proper divisors (189848819121350).

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

105553011403152 is a wasteful number, since it uses less digits than its factorization.

105553011403152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733007023647 (or 733007023638 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 105553011403152 its reverse (251304110355501), we get a palindrome (356857121758653).

The spelling of 105553011403152 in words is "one hundred five trillion, five hundred fifty-three billion, eleven million, four hundred three thousand, one hundred fifty-two".