106098642 has 48 divisors (see below), whose sum is σ = 251655768. Its totient is φ = 32106240.

The previous prime is 106098623. The next prime is 106098661. The reversal of 106098642 is 246890601.

106098642 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 8 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (106098623) and next prime (106098661).

It can be written as a sum of positive squares in 4 ways, for example, as 16966161 + 89132481 = 4119^2 + 9441^2 .

It is a super-2 number, since 2×106098642² = 22513843668488328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106098597 and 106098606.

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, 10558 + ... + 17990.

Almost surely, 2^106098642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106098642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125827884).

106098642 is an abundant number, since it is smaller than the sum of its proper divisors (145557126).

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

106098642 is a wasteful number, since it uses less digits than its factorization.

106098642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106098642 is about 10300.4195060201. The cubic root of 106098642 is about 473.4091072016.

The spelling of 106098642 in words is "one hundred six million, ninety-eight thousand, six hundred forty-two".