106002960 has 80 divisors (see below), whose sum is σ = 375559296. Its totient is φ = 24228864.

The previous prime is 106002943. The next prime is 106002977. The reversal of 106002960 is 69200601.

It is an interprime number because it is at equal distance from previous prime (106002943) and next prime (106002977).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106002960² = 22473255057523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106002960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29869 + ... + 33228.

Almost surely, 2^106002960 is an apocalyptic number.

106002960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106002960 is an abundant number, since it is smaller than the sum of its proper divisors (269556336).

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

106002960 is a wasteful number, since it uses less digits than its factorization.

106002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63120 (or 63114 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106002960 is about 10295.7738902911. The cubic root of 106002960 is about 473.2667542846.

The spelling of 106002960 in words is "one hundred six million, two thousand, nine hundred sixty".