51060000106100 has 36 divisors (see below), whose sum is σ = 111412356072108. Its totient is φ = 20311160256000.

The previous prime is 51060000106091. The next prime is 51060000106109. The reversal of 51060000106100 is 160100006015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51060000106091) and next prime (51060000106109).

It can be written as a sum of positive squares in 6 ways, for example, as 676664179216 + 50383335926884 = 822596^2 + 7098122^2 .

It is a super-2 number, since 2×51060000106100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51060000106109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1410479141 + ... + 1410515340.

Almost surely, 2^{51060000106100} is an apocalyptic number.

51060000106100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51060000106100 is an abundant number, since it is smaller than the sum of its proper divisors (60352355966008).

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

51060000106100 is a wasteful number, since it uses less digits than its factorization.

51060000106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820994676 (or 2820994669 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 51060000106100 in words is "fifty-one trillion, sixty billion, one hundred six thousand, one hundred".