106261953 has 16 divisors (see below), whose sum is σ = 162656256. Its totient is φ = 60446160.

The previous prime is 106261949. The next prime is 106261973. The reversal of 106261953 is 359162601.

It is a happy number.

It is not a de Polignac number, because 106261953 - 2² = 106261949 is a prime.

It is a super-2 number, since 2×106261953² = 22583205310748418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106261973) 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, 6663 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (10166016).

Almost surely, 2^106261953 is an apocalyptic number.

It is an amenable number.

106261953 is a deficient number, since it is larger than the sum of its proper divisors (56394303).

106261953 is a wasteful number, since it uses less digits than its factorization.

106261953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22924.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 106261953 is about 10308.3438534034. The cubic root of 106261953 is about 473.6518790207.

The spelling of 106261953 in words is "one hundred six million, two hundred sixty-one thousand, nine hundred fifty-three".