105151552 has 56 divisors (see below), whose sum is σ = 233245152. Its totient is φ = 46617600.

The previous prime is 105151531. The next prime is 105151573. The reversal of 105151552 is 255151501.

It is an interprime number because it is at equal distance from previous prime (105151531) and next prime (105151573).

It is a super-2 number, since 2×105151552² = 22113697776017408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27043 + ... + 30685.

It is an arithmetic number, because the mean of its divisors is an integer number (4165092).

Almost surely, 2^105151552 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 105151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622576).

105151552 is an abundant number, since it is smaller than the sum of its proper divisors (128093600).

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

105151552 is a wasteful number, since it uses less digits than its factorization.

105151552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 25.

The square root of 105151552 is about 10254.3430798857. The cubic root of 105151552 is about 471.9962654114.

The spelling of 105151552 in words is "one hundred five million, one hundred fifty-one thousand, five hundred fifty-two".