106261551 has 40 divisors (see below), whose sum is σ = 174240000. Its totient is φ = 64002960.

The previous prime is 106261523. The next prime is 106261553. The reversal of 106261551 is 155162601.

It is a happy number.

106261551 is a `hidden beast` number, since 106 + 2 + 6 + 1 + 551 = 666.

It is not a de Polignac number, because 106261551 - 2⁹ = 106261039 is a prime.

It is a super-2 number, since 2×106261551² = 22583034441851202, 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 (106261553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212700 + ... + 213198.

It is an arithmetic number, because the mean of its divisors is an integer number (4356000).

Almost surely, 2^106261551 is an apocalyptic number.

106261551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106261551 is a deficient number, since it is larger than the sum of its proper divisors (67978449).

106261551 is a wasteful number, since it uses less digits than its factorization.

106261551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106261551 is about 10308.3243546175. The cubic root of 106261551 is about 473.6512817285.

The spelling of 106261551 in words is "one hundred six million, two hundred sixty-one thousand, five hundred fifty-one".