61628822100 has 162 divisors, whose sum is σ = 195026940654. Its totient is φ = 16278038400.

The previous prime is 61628822071. The next prime is 61628822111. The reversal of 61628822100 is 122882616.

61628822100 is a `hidden beast` number, since 6 + 1 + 628 + 8 + 2 + 21 + 0 + 0 = 666.

61628822100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 218034756 + 61410787344 = 14766^2 + 247812^2 .

It is a super-2 number, since 2×61628822100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10301110 + ... + 10307090.

Almost surely, 2^61628822100 is an apocalyptic number.

61628822100 is a gapful number since it is divisible by the number (60) 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 61628822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97513470327).

61628822100 is an abundant number, since it is smaller than the sum of its proper divisors (133398118554).

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

61628822100 is a wasteful number, since it uses less digits than its factorization.

61628822100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 61628822100 in words is "sixty-one billion, six hundred twenty-eight million, eight hundred twenty-two thousand, one hundred".