137970105 has 64 divisors (see below), whose sum is σ = 276315648. Its totient is φ = 57231360.

The previous prime is 137970071. The next prime is 137970121. The reversal of 137970105 is 501079731.

It is not a de Polignac number, because 137970105 - 2²² = 133775801 is a prime.

It is a super-2 number, since 2×137970105² = 38071499747422050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82437 + ... + 84093.

It is an arithmetic number, because the mean of its divisors is an integer number (4317432).

Almost surely, 2^137970105 is an apocalyptic number.

137970105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137970105 is an abundant number, since it is smaller than the sum of its proper divisors (138345543).

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

137970105 is a wasteful number, since it uses less digits than its factorization.

137970105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746.

The product of its (nonzero) digits is 6615, while the sum is 33.

The square root of 137970105 is about 11746.0676398529. The cubic root of 137970105 is about 516.7276068713.

It can be divided in two parts, 137970 and 105, that added together give a triangular number (138075 = T₅₂₅).

The spelling of 137970105 in words is "one hundred thirty-seven million, nine hundred seventy thousand, one hundred five".