1006921188090 has 48 divisors (see below), whose sum is σ = 2618837886600. Its totient is φ = 268425876096.

The previous prime is 1006921188079. The next prime is 1006921188101. The reversal of 1006921188090 is 908811296001.

1006921188090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1006921188079) and next prime (1006921188101).

It can be written as a sum of positive squares in 4 ways, for example, as 876674543481 + 130246644609 = 936309^2 + 360897^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1519485 + ... + 2079104.

Almost surely, 2^{1006921188090} is an apocalyptic number.

1006921188090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006921188090 is an abundant number, since it is smaller than the sum of its proper divisors (1611916698510).

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

1006921188090 is a wasteful number, since it uses less digits than its factorization.

1006921188090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601711 (or 3601708 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 1006921188090 in words is "one trillion, six billion, nine hundred twenty-one million, one hundred eighty-eight thousand, ninety".