106586948 has 36 divisors (see below), whose sum is σ = 208982340. Its totient is φ = 47488896.

The previous prime is 106586939. The next prime is 106586951. The reversal of 106586948 is 849685601.

It can be written as a sum of positive squares in 6 ways, for example, as 12264004 + 94322944 = 3502^2 + 9712^2 .

It is a super-2 number, since 2×106586948² = 22721554967909408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16886 + ... + 22322.

It is an arithmetic number, because the mean of its divisors is an integer number (5805065).

Almost surely, 2^106586948 is an apocalyptic number.

It is an amenable number.

106586948 is a deficient number, since it is larger than the sum of its proper divisors (102395392).

106586948 is a wasteful number, since it uses less digits than its factorization.

106586948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 106586948 is about 10324.0955051762. The cubic root of 106586948 is about 474.1342649906.

The spelling of 106586948 in words is "one hundred six million, five hundred eighty-six thousand, nine hundred forty-eight".