106129530 has 48 divisors (see below), whose sum is σ = 297165960. Its totient is φ = 26123904.

The previous prime is 106129511. The next prime is 106129549. The reversal of 106129530 is 35921601.

106129530 is a `hidden beast` number, since 1 + 0 + 6 + 129 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (106129511) and next prime (106129549).

It can be written as a sum of positive squares in 4 ways, for example, as 87441201 + 18688329 = 9351^2 + 4323^2 .

It is a super-2 number, since 2×106129530² = 22526954276041800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106129494 and 106129503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44185 + ... + 46524.

Almost surely, 2^106129530 is an apocalyptic number.

106129530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106129530 is an abundant number, since it is smaller than the sum of its proper divisors (191036430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106129530 is a wasteful number, since it uses less digits than its factorization.

106129530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90735 (or 90732 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106129530 is about 10301.9187533197. The cubic root of 106129530 is about 473.4550432018.

The spelling of 106129530 in words is "one hundred six million, one hundred twenty-nine thousand, five hundred thirty".