1960148100 has 72 divisors (see below), whose sum is σ = 5681823840. Its totient is φ = 521742080.

The previous prime is 1960148081. The next prime is 1960148111. The reversal of 1960148100 is 18410691.

It is a super-2 number, since 2×1960148100² = 7684361147867220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 164959 + ... + 176441.

It is an arithmetic number, because the mean of its divisors is an integer number (78914220).

Almost surely, 2^1960148100 is an apocalyptic number.

1960148100 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 1960148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840911920).

1960148100 is an abundant number, since it is smaller than the sum of its proper divisors (3721675740).

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

1960148100 is a wasteful number, since it uses less digits than its factorization.

1960148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12069 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1960148100 is about 44273.5598297675. The cubic root of 1960148100 is about 1251.4964690826.

Adding to 1960148100 its reverse (18410691), we get a palindrome (1978558791).

The spelling of 1960148100 in words is "one billion, nine hundred sixty million, one hundred forty-eight thousand, one hundred".