106421607 has 16 divisors (see below), whose sum is σ = 159611360. Its totient is φ = 70946280.

The previous prime is 106421599. The next prime is 106421633. The reversal of 106421607 is 706124601.

106421607 is a `hidden beast` number, since 1 + 0 + 642 + 16 + 0 + 7 = 666.

It is not a de Polignac number, because 106421607 - 2³ = 106421599 is a prime.

It is a super-2 number, since 2×106421607² = 22651116872924898, which contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106421507) 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, 22144 + ... + 26517.

It is an arithmetic number, because the mean of its divisors is an integer number (9975710).

Almost surely, 2^106421607 is an apocalyptic number.

106421607 is a deficient number, since it is larger than the sum of its proper divisors (53189753).

106421607 is an frugal number, since it uses more digits than its factorization.

106421607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48682 (or 48664 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106421607 is about 10316.0848678169. The cubic root of 106421607 is about 473.8889741565. Note that the first 3 decimals are identical.

The spelling of 106421607 in words is "one hundred six million, four hundred twenty-one thousand, six hundred seven".