101370105 has 24 divisors (see below), whose sum is σ = 178593480. Its totient is φ = 53176320.

The previous prime is 101370067. The next prime is 101370119. The reversal of 101370105 is 501073101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1929321 + 99440784 = 1389^2 + 9972^2 .

It is not a de Polignac number, because 101370105 - 2⁶ = 101370041 is a prime.

It is a super-2 number, since 2×101370105² = 20551796375422050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15720 + ... + 21209.

It is an arithmetic number, because the mean of its divisors is an integer number (7441395).

Almost surely, 2^101370105 is an apocalyptic number.

101370105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101370105 is a deficient number, since it is larger than the sum of its proper divisors (77223375).

101370105 is a wasteful number, since it uses less digits than its factorization.

101370105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37001 (or 36998 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 101370105 is about 10068.2721953670. The cubic root of 101370105 is about 466.2690964825.

It can be divided in two parts, 101370 and 105, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 101370105 in words is "one hundred one million, three hundred seventy thousand, one hundred five".