106901667 has 16 divisors (see below), whose sum is σ = 159857280. Its totient is φ = 70599816.

The previous prime is 106901651. The next prime is 106901693. The reversal of 106901667 is 766109601.

It is not a de Polignac number, because 106901667 - 2⁴ = 106901651 is a prime.

It is a super-2 number, since 2×106901667² = 22855932814757778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106901617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15613 + ... + 21390.

It is an arithmetic number, because the mean of its divisors is an integer number (9991080).

Almost surely, 2^106901667 is an apocalyptic number.

106901667 is a deficient number, since it is larger than the sum of its proper divisors (52955613).

106901667 is a wasteful number, since it uses less digits than its factorization.

106901667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37119 (or 37113 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 106901667 is about 10339.3262353018. The cubic root of 106901667 is about 474.6004647731.

The spelling of 106901667 in words is "one hundred six million, nine hundred one thousand, six hundred sixty-seven".