105120070 has 64 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 35683200.

The previous prime is 105120013. The next prime is 105120107. The reversal of 105120070 is 70021501.

It is a super-2 number, since 2×105120070² = 22100458233609800, which contains 22 as substring.

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, 98359 + ... + 99421.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^105120070 is an apocalyptic number.

105120070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105120070 is an abundant number, since it is smaller than the sum of its proper divisors (115510970).

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

105120070 is a wasteful number, since it uses less digits than its factorization.

105120070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105120070 is about 10252.8079080806. The cubic root of 105120070 is about 471.9491560430.

Adding to 105120070 its reverse (70021501), we get a palindrome (175141571).

The spelling of 105120070 in words is "one hundred five million, one hundred twenty thousand, seventy".