105070265040 has 80 divisors (see below), whose sum is σ = 350773049088. Its totient is φ = 25863449088.

The previous prime is 105070265033. The next prime is 105070265057. The reversal of 105070265040 is 40562070501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105070265040² (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 junction number, because it is equal to n+sod(n) for n = 105070264989 and 105070265007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16835064 + ... + 16841303.

Almost surely, 2^105070265040 is an apocalyptic number.

105070265040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105070265040 is an abundant number, since it is smaller than the sum of its proper divisors (245702784048).

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

105070265040 is a wasteful number, since it uses less digits than its factorization.

105070265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33676396 (or 33676390 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 105070265040 in words is "one hundred five billion, seventy million, two hundred sixty-five thousand, forty".