105507157 has 8 divisors (see below), whose sum is σ = 120900800. Its totient is φ = 90193824.

The previous prime is 105507139. The next prime is 105507179. The reversal of 105507157 is 751705501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105507157 - 2¹⁹ = 104982869 is a prime.

It is a super-2 number, since 2×105507157² = 22263520356445298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105517157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17232 + ... + 22537.

It is an arithmetic number, because the mean of its divisors is an integer number (15112600).

Almost surely, 2^105507157 is an apocalyptic number.

It is an amenable number.

105507157 is a deficient number, since it is larger than the sum of its proper divisors (15393643).

105507157 is an equidigital number, since it uses as much as digits as its factorization.

105507157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40155.

The product of its (nonzero) digits is 6125, while the sum is 31.

The square root of 105507157 is about 10271.6676834874. The cubic root of 105507157 is about 472.5277376100.

The spelling of 105507157 in words is "one hundred five million, five hundred seven thousand, one hundred fifty-seven".