106346691 has 24 divisors (see below), whose sum is σ = 168090624. Its totient is φ = 64254960.

The previous prime is 106346651. The next prime is 106346749. The reversal of 106346691 is 196643601.

106346691 is a `hidden beast` number, since 10 + 634 + 6 + 6 + 9 + 1 = 666.

It is not a de Polignac number, because 106346691 - 2⁷ = 106346563 is a prime.

It is a super-2 number, since 2×106346691² = 22619237373298962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106346651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34870 + ... + 37796.

It is an arithmetic number, because the mean of its divisors is an integer number (7003776).

Almost surely, 2^106346691 is an apocalyptic number.

106346691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106346691 is a deficient number, since it is larger than the sum of its proper divisors (61743933).

106346691 is a wasteful number, since it uses less digits than its factorization.

106346691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106346691 is about 10312.4531998938. The cubic root of 106346691 is about 473.7777492489. Note that the first 4 decimals are identical.

The spelling of 106346691 in words is "one hundred six million, three hundred forty-six thousand, six hundred ninety-one".