106251629 has 16 divisors (see below), whose sum is σ = 123002880. Its totient is φ = 90765360.

The previous prime is 106251619. The next prime is 106251637. The reversal of 106251629 is 926152601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106251629 - 2²⁰ = 105203053 is a prime.

It is a super-2 number, since 2×106251629² = 22578817330307282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106251595 and 106251604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106251619) 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, 24542 + ... + 28544.

It is an arithmetic number, because the mean of its divisors is an integer number (7687680).

Almost surely, 2^106251629 is an apocalyptic number.

106251629 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106251629 is a deficient number, since it is larger than the sum of its proper divisors (16751251).

106251629 is a wasteful number, since it uses less digits than its factorization.

106251629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 106251629 is about 10307.8430818479. The cubic root of 106251629 is about 473.6365391295.

The spelling of 106251629 in words is "one hundred six million, two hundred fifty-one thousand, six hundred twenty-nine".