106157034 has 32 divisors (see below), whose sum is σ = 236369280. Its totient is φ = 35316000.

The previous prime is 106157021. The next prime is 106157041. The reversal of 106157034 is 430751601.

106157034 is a `hidden beast` number, since 1 + 0 + 61 + 570 + 34 = 666.

It is a super-2 number, since 2×106157034² = 22538631735354312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106156989 and 106157007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30819 + ... + 34089.

It is an arithmetic number, because the mean of its divisors is an integer number (7386540).

Almost surely, 2^106157034 is an apocalyptic number.

106157034 is an abundant number, since it is smaller than the sum of its proper divisors (130212246).

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

106157034 is a wasteful number, since it uses less digits than its factorization.

106157034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106157034 is about 10303.2535638021. The cubic root of 106157034 is about 473.4959390856.

The spelling of 106157034 in words is "one hundred six million, one hundred fifty-seven thousand, thirty-four".