10629900 has 144 divisors (see below), whose sum is σ = 35553280. Its totient is φ = 2721600.

The previous prime is 10629881. The next prime is 10629917. The reversal of 10629900 is 992601.

10629900 = T₃₄₄ + T₃₄₅ + ... + T₄₇₀.

It is a happy number.

It is a super-2 number, since 2×10629900² = 225989548020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83637 + ... + 83763.

Almost surely, 2^10629900 is an apocalyptic number.

10629900 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 10629900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776640).

10629900 is an abundant number, since it is smaller than the sum of its proper divisors (24923380).

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

10629900 is a wasteful number, since it uses less digits than its factorization.

10629900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10629900 is about 3260.3527416524. The cubic root of 10629900 is about 219.8752736539.

The spelling of 10629900 in words is "ten million, six hundred twenty-nine thousand, nine hundred".