105162138 has 48 divisors (see below), whose sum is σ = 238021056. Its totient is φ = 34797600.

The previous prime is 105162107. The next prime is 105162173. The reversal of 105162138 is 831261501.

105162138 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 621 + 38 = 666.

It is a super-2 number, since 2×105162138² = 22118150537462088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72670 + ... + 74102.

It is an arithmetic number, because the mean of its divisors is an integer number (4958772).

Almost surely, 2^105162138 is an apocalyptic number.

105162138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105162138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119010528).

105162138 is an abundant number, since it is smaller than the sum of its proper divisors (132858918).

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

105162138 is a wasteful number, since it uses less digits than its factorization.

105162138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105162138 is about 10254.8592384294. The cubic root of 105162138 is about 472.0121040897.

The spelling of 105162138 in words is "one hundred five million, one hundred sixty-two thousand, one hundred thirty-eight".