1542641100 has 432 divisors, whose sum is σ = 6051112704. Its totient is φ = 295257600.

The previous prime is 1542641077. The next prime is 1542641123. The reversal of 1542641100 is 11462451.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1542641077) and next prime (1542641123).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3303067 + ... + 3303533.

Almost surely, 2^1542641100 is an apocalyptic number.

1542641100 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 1542641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025556352).

1542641100 is an abundant number, since it is smaller than the sum of its proper divisors (4508471604).

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

1542641100 is a wasteful number, since it uses less digits than its factorization.

1542641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1542641100 is about 39276.4700552379. The cubic root of 1542641100 is about 1155.4601341257.

The spelling of 1542641100 in words is "one billion, five hundred forty-two million, six hundred forty-one thousand, one hundred".