1072920208100 has 144 divisors (see below), whose sum is σ = 2618281585920. Its totient is φ = 378650764800.

The previous prime is 1072920208069. The next prime is 1072920208109. The reversal of 1072920208100 is 18020292701.

It is a happy number.

It is a super-2 number, since 2×1072920208100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072920208109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42714545 + ... + 42739655.

Almost surely, 2^{1072920208100} is an apocalyptic number.

1072920208100 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 1072920208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309140792960).

1072920208100 is an abundant number, since it is smaller than the sum of its proper divisors (1545361377820).

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

1072920208100 is a wasteful number, since it uses less digits than its factorization.

1072920208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26590 (or 26583 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 1072920208100 in words is "one trillion, seventy-two billion, nine hundred twenty million, two hundred eight thousand, one hundred".