106129772 has 12 divisors (see below), whose sum is σ = 212259600. Its totient is φ = 45484176.

The previous prime is 106129757. The next prime is 106129819. The reversal of 106129772 is 277921601.

106129772 is an admirable number.

It is a super-2 number, since 2×106129772² = 22527057009543968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1895147 + ... + 1895202.

It is an arithmetic number, because the mean of its divisors is an integer number (17688300).

Almost surely, 2^106129772 is an apocalyptic number.

It is an amenable number.

106129772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106129772 is a wasteful number, since it uses less digits than its factorization.

106129772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790360 (or 3790358 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 106129772 is about 10301.9304986978. The cubic root of 106129772 is about 473.4554030641.

The spelling of 106129772 in words is "one hundred six million, one hundred twenty-nine thousand, seven hundred seventy-two".