1906857192100 has 81 divisors (see below), whose sum is σ = 4813696384833. Its totient is φ = 653746467360.

The previous prime is 1906857192083. The next prime is 1906857192113. The reversal of 1906857192100 is 12917586091.

The square root of 1906857192100 is 1380890.

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

It can be written as a sum of positive squares in only one way, i.e., 686468589156 + 1220388602944 = 828534^2 + 1104712^2 .

It is a super-2 number, since 2×1906857192100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96652437 + ... + 96672163.

Almost surely, 2^{1906857192100} is an apocalyptic number.

1906857192100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1906857192100 is the 1380890-th square number.

It is an amenable number.

1906857192100 is an abundant number, since it is smaller than the sum of its proper divisors (2906839192733).

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

1906857192100 is an frugal number, since it uses more digits than its factorization.

1906857192100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39482 (or 19741 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

Multiplying 1906857192100 by its sum of digits (49), we get a square (93436002412900 = 9666230²).

1906857192100 divided by its sum of digits (49) gives a square (38915452900 = 197270²).

The spelling of 1906857192100 in words is "one trillion, nine hundred six billion, eight hundred fifty-seven million, one hundred ninety-two thousand, one hundred".