106157142 has 160 divisors (see below), whose sum is σ = 308985600. Its totient is φ = 26453952.

The previous prime is 106157099. The next prime is 106157179. The reversal of 106157142 is 241751601.

It is a happy number.

106157142 is a `hidden beast` number, since 1 + 0 + 615 + 7 + 1 + 42 = 666.

It is a super-2 number, since 2×106157142² = 22538677595216328, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 279909 + ... + 280287.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 2^106157142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106157142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154492800).

106157142 is an abundant number, since it is smaller than the sum of its proper divisors (202828458).

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

106157142 is a wasteful number, since it uses less digits than its factorization.

106157142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106157142 is about 10303.2588048636. The cubic root of 106157142 is about 473.4960996576.

The spelling of 106157142 in words is "one hundred six million, one hundred fifty-seven thousand, one hundred forty-two".