105133478040 has 128 divisors (see below), whose sum is σ = 356190148800. Its totient is φ = 27575976960.

The previous prime is 105133478039. The next prime is 105133478083. The reversal of 105133478040 is 40874331501.

It is a happy number.

105133478040 is a `hidden beast` number, since 1 + 0 + 513 + 34 + 78 + 0 + 40 = 666.

It is a super-2 number, since 2×105133478040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105133477986 and 105133478004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732037 + ... + 863796.

Almost surely, 2^105133478040 is an apocalyptic number.

105133478040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105133478040 is an abundant number, since it is smaller than the sum of its proper divisors (251056670760).

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

105133478040 is a wasteful number, since it uses less digits than its factorization.

105133478040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595914 (or 1595904 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 105133478040 in words is "one hundred five billion, one hundred thirty-three million, four hundred seventy-eight thousand, forty".