106200552 has 64 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 33522944.

The previous prime is 106200541. The next prime is 106200571. The reversal of 106200552 is 255002601.

It is a super-2 number, since 2×106200552² = 22557114490209408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35449 + ... + 38327.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2^106200552 is an apocalyptic number.

106200552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106200552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

106200552 is an abundant number, since it is smaller than the sum of its proper divisors (173735448).

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

106200552 is a wasteful number, since it uses less digits than its factorization.

106200552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 106200552 is about 10305.3652045912. The cubic root of 106200552 is about 473.5606318665.

The spelling of 106200552 in words is "one hundred six million, two hundred thousand, five hundred fifty-two".