1087869860100 has 189 divisors, whose sum is σ = 3540313741573. Its totient is φ = 290023532640.

The previous prime is 1087869860083. The next prime is 1087869860117. The reversal of 1087869860100 is 10689687801.

The square root of 1087869860100 is 1043010.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1087869860083) and next prime (1087869860117).

It can be written as a sum of positive squares in only one way, i.e., 391633149636 + 696236710464 = 625806^2 + 834408^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 281610769 + ... + 281614631.

Almost surely, 2^{1087869860100} is an apocalyptic number.

1087869860100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1087869860100 is the 1043010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087869860100

1087869860100 is an abundant number, since it is smaller than the sum of its proper divisors (2452443881473).

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

1087869860100 is an frugal number, since it uses more digits than its factorization.

1087869860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1087869860100 in words is "one trillion, eighty-seven billion, eight hundred sixty-nine million, eight hundred sixty thousand, one hundred".