10551600 has 120 divisors (see below), whose sum is σ = 37594320. Its totient is φ = 2810880.

The previous prime is 10551589. The next prime is 10551613. The reversal of 10551600 is 615501.

10551600 is a `hidden beast` number, since 10 + 5 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10551600² = 222672525120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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, 10312 + ... + 11288.

It is an arithmetic number, because the mean of its divisors is an integer number (313286).

Almost surely, 2^10551600 is an apocalyptic number.

10551600 is a gapful number since it is divisible by the number (10) 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 10551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797160).

10551600 is an abundant number, since it is smaller than the sum of its proper divisors (27042720).

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

10551600 is a wasteful number, since it uses less digits than its factorization.

10551600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10551600 is about 3248.3226440734. The cubic root of 10551600 is about 219.3340744753.

The spelling of 10551600 in words is "ten million, five hundred fifty-one thousand, six hundred".