1061022900 has 144 divisors (see below), whose sum is σ = 3575021184. Its totient is φ = 237918720.

The previous prime is 1061022889. The next prime is 1061022917. The reversal of 1061022900 is 92201601.

It is a super-2 number, since 2×1061022900² = 2251539188648820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 106534 + ... + 116066.

It is an arithmetic number, because the mean of its divisors is an integer number (24826536).

Almost surely, 2^1061022900 is an apocalyptic number.

1061022900 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 1061022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787510592).

1061022900 is an abundant number, since it is smaller than the sum of its proper divisors (2513998284).

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

1061022900 is a wasteful number, since it uses less digits than its factorization.

1061022900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9610 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1061022900 is about 32573.3464660910. The cubic root of 1061022900 is about 1019.9406924378.

The spelling of 1061022900 in words is "one billion, sixty-one million, twenty-two thousand, nine hundred".