105157416 has 128 divisors (see below), whose sum is σ = 327801600. Its totient is φ = 27371520.

The previous prime is 105157399. The next prime is 105157417. The reversal of 105157416 is 614751501.

It is a super-2 number, since 2×105157416² = 22116164279594112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105157417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194106 + ... + 194646.

It is an arithmetic number, because the mean of its divisors is an integer number (2560950).

Almost surely, 2^105157416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105157416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900800).

105157416 is an abundant number, since it is smaller than the sum of its proper divisors (222644184).

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

105157416 is a wasteful number, since it uses less digits than its factorization.

105157416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 105157416 is about 10254.6290035281. The cubic root of 105157416 is about 472.0050392069.

The spelling of 105157416 in words is "one hundred five million, one hundred fifty-seven thousand, four hundred sixteen".