105400707 has 16 divisors (see below), whose sum is σ = 142974720. Its totient is φ = 69053600.

The previous prime is 105400693. The next prime is 105400739. The reversal of 105400707 is 707004501.

It is a cyclic number.

It is not a de Polignac number, because 105400707 - 2¹⁰ = 105399683 is a prime.

It is a super-2 number, since 2×105400707² = 22218618072199698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105400747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88657 + ... + 89837.

It is an arithmetic number, because the mean of its divisors is an integer number (8935920).

Almost surely, 2^105400707 is an apocalyptic number.

105400707 is a deficient number, since it is larger than the sum of its proper divisors (37574013).

105400707 is a wasteful number, since it uses less digits than its factorization.

105400707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 105400707 is about 10266.4846466549. The cubic root of 105400707 is about 472.3687673396.

The spelling of 105400707 in words is "one hundred five million, four hundred thousand, seven hundred seven".