106213653 has 64 divisors (see below), whose sum is σ = 195686400. Its totient is φ = 55442880.

The previous prime is 106213651. The next prime is 106213699. The reversal of 106213653 is 356312601.

106213653 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 1 + 3 + 653 = 666.

It is not a de Polignac number, because 106213653 - 2¹ = 106213651 is a prime.

It is a super-2 number, since 2×106213653² = 22562680167208818, 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 not an unprimeable number, because it can be changed into a prime (106213651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341368 + ... + 341678.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^106213653 is an apocalyptic number.

106213653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106213653 is a deficient number, since it is larger than the sum of its proper divisors (89472747).

106213653 is a wasteful number, since it uses less digits than its factorization.

106213653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106213653 is about 10306.0008247622. Note that the first 3 decimals coincide. The cubic root of 106213653 is about 473.5801040275.

The spelling of 106213653 in words is "one hundred six million, two hundred thirteen thousand, six hundred fifty-three".