105415433400 has 48 divisors (see below), whose sum is σ = 326787845400. Its totient is φ = 28110782080.

The previous prime is 105415433351. The next prime is 105415433411. The reversal of 105415433400 is 4334514501.

It is a super-2 number, since 2×105415433400² (a number of 23 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 11 ways as a sum of consecutive naturals, for example, 87845595 + ... + 87846794.

Almost surely, 2^105415433400 is an apocalyptic number.

105415433400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105415433400 is an abundant number, since it is smaller than the sum of its proper divisors (221372412000).

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

105415433400 is a wasteful number, since it uses less digits than its factorization.

105415433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175692408 (or 175692399 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105415433400 its reverse (4334514501), we get a palindrome (109749947901).

The spelling of 105415433400 in words is "one hundred five billion, four hundred fifteen million, four hundred thirty-three thousand, four hundred".